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Global Fibonacci nim

Author

Listed:
  • Urban Larsson

    (Technion–Israel Institute of Technology)

  • Simon Rubinstein-Salzedo

    (Euler Circle)

Abstract

Fibonacci nim is a popular impartial combinatorial game, usually played with a single pile of stones: two players alternate in removing no more than twice the previous player’s removal. The game is appealing due to its surprising connections with the Fibonacci numbers and the Zeckendorf representation. In this article, we investigate some properties of a variant played with multiple piles of stones, and solve the 2-pile case. A player chooses one of the piles and plays as in Fibonacci nim, but here the move-size restriction is a global parameter, valid for any pile.

Suggested Citation

  • Urban Larsson & Simon Rubinstein-Salzedo, 2018. "Global Fibonacci nim," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(2), pages 595-611, May.
    • Handle: RePEc:spr:jogath:v:47:y:2018:i:2:d:10.1007_s00182-017-0574-x
    DOI: 10.1007/s00182-017-0574-x
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    References listed on IDEAS

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    1. Max Albert, 2008. "Introduction," Conferences on New Political Economy,in: Max Albert & Stefan Voigt & Dieter Schmidtchen (ed.), Conferences on New Political Economy, edition 1, volume 25, pages 1-9 Mohr Siebeck, Tübingen.
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